Course Curriculum
| Introduction | |||
| Introduction | FREE | 00:03:00 | |
| Functions | |||
| What is Function? | 00:07:00 | ||
| Vertical Line Test | 00:04:00 | ||
| Value of a Function Graphically | 00:08:00 | ||
| Domain Range of a function Algebraically | 00:13:00 | ||
| Domain Range of a function Graphically | FREE | 00:06:00 | |
| Even & Odd Functions | 00:07:00 | ||
| One to one Function | 00:05:00 | ||
| Composite Functions | 00:09:00 | ||
| How to draw Rational Functions- 1 | 00:04:00 | ||
| How to draw Rational Functions- 2 | 00:10:00 | ||
| Inverse of a function Algebraically | 00:05:00 | ||
| Inverse of a function Graphically | 00:09:00 | ||
| Practice Problems 1 | 00:10:00 | ||
| Practice Problems 2 | 00:08:00 | ||
| Resources Downloads | 00:40:00 | ||
| Quadratic Equations | |||
| Introduction to Quadratic Equations | 00:04:00 | ||
| Solving Quadratic Equations by Factorization method | 00:10:00 | ||
| Writing in completed square form | 00:08:00 | ||
| Solving by completed square method | 00:08:00 | ||
| Sketching of Quadratic Graphs | 00:11:00 | ||
| Quadratic graphs using Transformations | 00:06:00 | ||
| Quadratic inequalities | 00:11:00 | ||
| Deriving Quadratic formula | 00:05:00 | ||
| Solving problems using Quadratic Formula | 00:06:00 | ||
| Equations reducible to Quadratic | 00:07:00 | ||
| Nature of Roots of Quadratic Equations | 00:04:00 | ||
| Nature of roots continues | 00:12:00 | ||
| Quadratic Equations (Resources) | 00:50:00 | ||
| Co-ordinate Geometry | |||
| Distance formula | 00:15:00 | ||
| Mid point formula | 00:05:00 | ||
| Gradient of a line | 00:10:00 | ||
| Graphing using gradient and y intercept | 00:02:00 | ||
| Some standard lines | 00:04:00 | ||
| Slope intercept form y = m x +c | 00:05:00 | ||
| Point slope form and two point form | 00:10:00 | ||
| Intersection of line and parabola | 00:09:00 | ||
| Practice Problems from past papers (part 3) | 00:12:00 | ||
| Sequence and series | |||
| Sequence and series ( video) | 00:08:00 | ||
| Arithmetic Sequence | 00:10:00 | ||
| General term of an A.P. | 00:07:00 | ||
| Finding given term is which term? | 00:05:00 | ||
| Writing sequence when two terms are known | 00:00:00 | ||
| Condition for three terms to be in A.P. | 00:05:00 | ||
| Sum to n terms of A.P. | 00:06:00 | ||
| Practice Problems 1 (A.P.) | 00:08:00 | ||
| Practice problems 3 (A.P.) | 00:07:00 | ||
| Practice problems 4 (A.P.) | 00:10:00 | ||
| Geometric Progressions | 00:11:00 | ||
| Sum to n terms in G.P. | 00:14:00 | ||
| Sum to infinite Terms in G.P. | 00:13:00 | ||
| Practice Problems 1 (GP) | 00:13:00 | ||
| Practice Problems 2 (GP) | 00:06:00 | ||
| Practice Problems based on AP and GP both | 00:15:00 | ||
| Sequence and series Text 1 | 00:40:00 | ||
| Sequence and series Text 2 | 00:35:00 | ||
| Binomial Theorem | |||
| What is Factorial? | 00:06:00 | ||
| n-choose –r problems | 00:06:00 | ||
| Properties of n – choose -r | 00:05:00 | ||
| Expanding using Binomial Theorem | 00:11:00 | ||
| Expanding using Binomial Theorem | 00:11:00 | ||
| Finding the indicated term in the Binomial expansion | 00:10:00 | ||
| Finding the indicated term in the Binomial expansion | 00:10:00 | ||
| Finding the indicated term from end | 00:09:00 | ||
| Finding the coefficient for given exponent (index) of the variable | 00:08:00 | ||
| Finding the term independent of variable | 00:05:00 | ||
| Expanding in increasing and decreasing powers of x | 00:09:00 | ||
| Practice Problems 1 | 00:10:00 | ||
| Practice Problems 2 | 00:08:00 | ||
| Practice Problems 3 | 00:07:00 | ||
| Past papers problems 1 | 00:15:00 | ||
| Past Paper problems 2 | 00:13:00 | ||
| Past Paper problems 3 | 00:09:00 | ||
| Resources in this section | 00:45:00 | ||
| Differentiation | |||
| What is Derivative? | 00:07:00 | ||
| Derivation of formula for Derivative | 00:06:00 | ||
| Differentiation by definition or First Principle | 00:06:00 | ||
| Power Rule | 00:20:00 | ||
| Practice Problems on Power Rule 1 | 00:07:00 | ||
| Practice Problems on Power Rule 2 | 00:07:00 | ||
| Practice Problems on Power Rule 3 | 00:05:00 | ||
| Practice Problems on Power Rule 4 | 00:11:00 | ||
| Practice Problems on Power Rule 5 | 00:07:00 | ||
| Tangents and Normals | |||
| Tangents and Normals- Basics | 00:12:00 | ||
| Practice- Tangents and Normals Part 1 | 00:16:00 | ||
| Practice- Tangents and Normals Part 2 | 00:13:00 | ||
| Practice- Tangents and Normals Part 3 | 00:11:00 | ||
| Practice- Tangents and Normals Part 4 | 00:14:00 | ||
| Stationary Points & Curve Sketching | |||
| Stationary Points – Basics | 00:13:00 | ||
| Practice- Increasing Decreasing & Maxima Minima part 1 | 00:11:00 | ||
| Practice- Increasing Decreasing & Maxima Minima part 2 | 00:12:00 | ||
| Practice- Increasing Decreasing & Maxima Minima part 3 | 00:10:00 | ||
| Second Derivative Test (Maximum & Minimum Points) | |||
| Concavity-Basics | 00:02:00 | ||
| Concavity & Second Derivative | 00:08:00 | ||
| Second Derivative Test | 00:09:00 | ||
| Practice Problem of Maxima Minima using second derivative test Part 1 | 00:04:00 | ||
| Practice Problem of Maxima Minima using second derivative test Part 1 | 00:17:00 | ||
| Practice Problem of Maxima Minima using second derivative test Part 2 | 00:10:00 | ||
| Practice Problem of Maxima Minima using second derivative test Part 3 | 00:07:00 | ||
| Practice Problem of Maxima Minima using second derivative test Part 4 | 00:07:00 | ||
| Applications of Maxima and Minima Part 1 | 00:09:00 | ||
| Applications of Maxima and Minima Part 2 | 00:07:00 | ||
| Applications of Maxima and Minima Part 3 | 00:10:00 | ||
| Applications of Maxima and Minima Part 4 | 00:09:00 | ||
| Applications of Maxima and Minima Part 5 | 00:10:00 | ||
| Applications of Maxima and Minima Part 6 | 00:08:00 | ||
| Past Paper Problems on applications of maxima and minima Part 1 | 00:09:00 | ||
| Past Paper Problems on applications of maxima and minima Part 2 | 00:09:00 | ||
| Past Paper Problems on applications of maxima and minima Part 3 | 00:08:00 | ||
| Past Paper Problems on applications of maxima and minima Part 4 | 00:07:00 | ||
| Chain Rule | 00:12:00 | ||
| Rate of change part 1 | 00:05:00 | ||
| Rate of change part 2 | 00:11:00 | ||
| Rate of change part 3 | 00:07:00 | ||
| Past Paper Problems using chain rule -1 | 00:06:00 | ||
| Past Paper Problems using chain rule – 2 | 00:07:00 | ||
| Past Paper Problems using chain rule 3 | 00:07:00 | ||
| Past Paper Problems using chain rule -4 | 00:04:00 | ||
| Simultaneous Linear equations | |||
| Graphical Method of solving pair of linear equations | 00:10:00 | ||
| Video lecture on Graphical method | 00:05:00 | ||
| Method of elimination by substitution | 00:10:00 | ||
| Video lecture on substitution method | 00:06:00 | ||
| Method of elimination by equating the coefficients | 00:10:00 | ||
| Video lecture on equating coefficients method | 00:09:00 | ||
| Practice Problems on Linear equation | 00:20:00 | ||
| Essential Revision | |||
| How to take up this course? | 00:10:00 | ||
| Background of Algebra | 00:10:00 | ||
| Language of Algebra | 00:00:00 | ||
| Finding Values of algebraic expressions | 00:14:00 | ||
| Fractional Indices | 00:10:00 | ||
| Higher Indices | 00:07:00 | ||
| Rules of Brackets | 00:04:00 | ||
| Simplification by removing brackets (BODMAS) | 00:11:00 | ||
| Simplifications of Algebraic Fractions | 00:07:00 | ||
| Solving complex Linear Equations in one variable | 00:10:00 | ||
| Factorization by taking out common factor | 00:10:00 | ||
| Factorization by grouping the terms | 00:09:00 | ||
| Factorize using identity a ² – b ² | 00:07:00 | ||
| Factorization by middle term split | 00:12:00 | ||
Review
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